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Finding the Third Proportional to 767,412 and 1,201,212

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Solution

The third proportional to 767,412 and 1,201,212 is: 1,880,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,412 : 1,201,212 = 1,201,212 : x
  2. Step 2: Convert to fraction form
    767,412/1,201,212 = 1,201,212/x
  3. Step 3: Cross multiply
    767,412x = 1,201,212 × 1,201,212
  4. Step 4: Simplify right side
    767,412x = 1,442,910,268,944
  5. Step 5: Solve for x
    x = 1,442,910,268,944/767,412
  6. Step 6: Final answer
    x = 1,880,228.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.